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Finding the Fourth Proportional to 1,776.44, 2,664.82 and 477.88

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Solution

The fourth proportional to 1,776.44, 2,664.82 and 477.88 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.44 : 2,664.82 = 477.88 : x
  2. Step 2: Convert to fraction form
    1,776.44/2,664.82 = 477.88/x
  3. Step 3: Cross multiply
    1,776.44x = 2,664.82 × 477.88
  4. Step 4: Simplify right side
    1,776.44x = 1,273,464.18
  5. Step 5: Solve for x
    x = 1,273,464.18/1,776.44
  6. Step 6: Final answer
    x = 716.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.